# A lady starts from her house with some money to visit four Churches.

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A lady starts from her house with some money to visit four Churches.

1. As soon as she enters Church1 her money gets doubled. She donates \$100 and moves.
2. At Church2 again her money is doubled and she donates \$100.
3. Her money is doubled again at Church3 and she donates \$100.
4. At Church4 again her money gets doubled. She donates \$100 again and returns home empty handed…

How much money she had when she started from her house???

posted Sep 7, 2015

+1 vote

93.75
Money after Church 1: 187.5-100 = \$87.5
Money after church 2: 175-100 = \$75
Money after church 3: 150-100 = \$50
Money after church 4: 100-100 = 0

Suppose the lady has \$X . Initially.
When she went to first church, her money gets doubled. So she has \$2X ,of which she donated \$100 .

So before going to 2nd church she has \$(2x-100)
Similarlly, in 2nd church doubled money will be 2(2x-100), after donating \$100, She left with \$(4x-300)
In 3rd church doubled money will be 2(4x-300), after donating \$100, remaining money is \$(8x-700)
In 4th church again doubled money will be 2(8x-700),after donating \$100, the money left is \$(16x-1500)=0
hence, 16x=1500,so x=\$93.75

So initially she has \$93.75

Similar Puzzles

A lady starts from her house with some money to visit four Churches.

1. As soon as she enters Church1 her money gets doubled. She donates \$100 and moves.

2. At Church2 again her money is doubled and she donates \$100.

3. Her money is doubled again at Church3 and she donates \$100.

4. At Church4 again her money gets doubled. She donates \$100 again and returns home empty handed…

How much money she had when she started from her house???